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Finding the Fourth Proportional to 4,614.53, 6,366.24 and 2,597.48

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Solution

The fourth proportional to 4,614.53, 6,366.24 and 2,597.48 is: 3,583.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,614.53 : 6,366.24 = 2,597.48 : x
  2. Step 2: Convert to fraction form
    4,614.53/6,366.24 = 2,597.48/x
  3. Step 3: Cross multiply
    4,614.53x = 6,366.24 × 2,597.48
  4. Step 4: Simplify right side
    4,614.53x = 16,536,181.08
  5. Step 5: Solve for x
    x = 16,536,181.08/4,614.53
  6. Step 6: Final answer
    x = 3,583.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.